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Statistical approach to the transient up-converted population in monodoped amorphous solids

机译:单掺杂无定形固体中瞬态上转换人口的统计方法

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摘要

Based on microscopic considerations, an analytic statistical model is presented for the study of the temporal variation of up-conversion luminescence produced by the interaction of excited state Ln(3+) optical centers in monodoped amorphous materials. The resulting expressions are presented in terms of known mathematical functions, and they account for the detailed dependence on the system's experimental variables. The model allows a correct prediction of the shape of the up-conversion transient curves, and also accounts not only for the dependence of the up-conversion intensity on the square of the optical center concentration and of the external excitation intensity at relatively low pump power, but also allows the prediction of "saturation'' effects with increasing values of these factors, a situation comparable to what happens with steady state luminescence. Finally, interpretations of the reproduced observables from a microscopic viewpoint are given. [References: 50]
机译:基于微观考虑,提出了一种解析统计模型,用于研究单掺杂非晶材料中激发态Ln(3+)光学中心相互作用产生的上转换发光的时间变化。结果表达式以已知的数学函数形式表示,它们解释了对系统实验变量的详细依赖性。该模型可以正确预测上转换瞬态曲线的形状,并且不仅考虑了上转换强度与相对较低泵浦功率下光学中心浓度和外部激发强度的平方之间的关系, ,但也可以通过增加这些因素的值来预测“饱和”效应,这种情况与稳态发光所发生的情况相当。最后,从微观角度给出了对可观察到的可观察物的解释[参考文献:50]。

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